Results 21 to 30 of about 7,144 (220)
Perrin numbers and distinct repdigits [PDF]
We determine all Perrin numbers that are concatenations of two repdigits.
Mahadi Ddamulira, Toboka Chalebgwa
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Perrin numbers that are concatenations of two distinct repdigits [PDF]
Let $ (P_n)_{n\ge 0}$ be the sequence of Perrin numbers defined by ternary relation $ P_0=3 $, $ P_1=0 $, $ P_2=2 $, and $ P_{n+3}=P_{n+1}+P_n $ for all $ n\ge 0 $. In this paper, we use Baker's theory for nonzero linear forms in logarithms of algebraic numbers and the reduction procedure involving the theory of continued fractions, to explicitly ...
Herbert Batte +2 more
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Millions of Perrin pseudoprimes including a few giants [PDF]
The calculation of many and large Perrin pseudoprimes is a challenge. This is mainly due to their rarity. Perrin pseudoprimes are one of the rarest known pseudoprimes. In order to calculate many such large numbers, one needs not only a fast algorithm but
Stephan, Holger
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Padovan and Perrin numbers of the form 7ᵗ-5ᶻ-3ʸ-2ˣ [PDF]
Consider the Padovan sequence (pₙ)ₙ≥₀ given by pₙ₊₃=pₙ₊₁+pₙ with p₀=p₁=p₂=1. Its companion sequence, the Perrin sequence (℘ₙ)ₙ≥₀, follows the same recursive formula as the Padovan numbers, but with different initial values: p₀=3, p₁=0 and p₂=2.
Djamel Bellaouar +2 more
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This work presents the first enzymatic polymerization of defined metal‐chelator‐modified nucleotides that leverage polymerase fidelity for uniform (radio)metal loading with successful incorporation of five different metals: Ga, In, Tb, Lu, and Y.
Antonio A. W. L. Wong +2 more
wiley +2 more sources
Padovan and Perrin Numbers as Sums of Two Jacobsthal Numbers
Let $\left\lbrace P_{k}\right\rbrace_{k\geq0}$ be the Padovan sequence defined by $P_{k}=P_{k-2}+P_{k-3}$ with initial values are $P_{0}=P_{1}=P_{2}=1$. Let $\left\lbrace R_{k}\right\rbrace_{k\geq0}$ be the Perrin sequence defined by $R_{k}=R_{k-2}+R_{k-3}$ with initial values are $R_{0}=3$, $R_{1}=0$, $R_{2}=2$.
Ismail, Mustafa, Gaber, Ahmed, Anwar, M.
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De Moivre-Type Identities for the Padovan Numbers [PDF]
At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some identities between all of these ...
Akbıyık, Mücahit +2 more
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Os quatérnios circulares hiperbólicos e os números hibrinomiais de Perrin
Studies referring to linear and recurrent sequences are being carried out in the Pure Mathematics literature, thus expanding the universe of sequence evolution.
Vieira, Renata Passos Machado +2 more
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O estado da arte da sequência de Perrin: uma análise dos aspectos evolutivos
This article discusses a state of the art for Perrin\u27s recurring numerical sequence. In this way, an analysis is carried out of the works contained in the last five years, from the Google Scholar database, with the objective of the research a study ...
Vieira, Renata Passos Machado +2 more
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Variation in parrot jaw musculature
Interspecific morphological differences in some superficial jaw muscles of parrots. Abstract Psittaciformes, the order encompassing parrots and their relatives, are highly diverse and generally known for having a strong beaks used for multiple behaviors. The muscles related to the masticatory apparatus should reflect this functional complexity; however,
Ana Carolina L. Faillace +3 more
wiley +1 more source

